A 3D shape with 10 vertices, 15 edges, and 5 faces is known as a pentakis icosidodecahedron. This polyhedron consists of 12 regular pentagonal faces and 20 triangular faces, resulting in a total of 5 faces when considering only the pentagonal ones. It can also be seen as a modification of an icosidodecahedron, where pyramids are added to each of the 12 pentagonal faces.
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